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The mode-coupling theory of the glass transition treats the dynamics of supercooled liquids in terms of two-point density correlation functions. Here we consider a generalized, hierarchical formulation of schematic mode-coupling equations…

Statistical Mechanics · Physics 2014-11-27 Liesbeth M. C. Janssen , Peter Mayer , David R. Reichman

We assess experimentally and theoretically the character of the superfluid-supersolid quantum phase transition recently discovered in trapped dipolar quantum gases. We find that one-row supersolids can have already two types of phase…

Quantum Gases · Physics 2024-06-11 G. Biagioni , N. Antolini , A. Alaña , M. Modugno , A. Fioretti , C. Gabbanini , L. Tanzi , G. Modugno

connected spin-glass models with a discontinuous transition. In the thermodynamic limit the equilibrium properties in the high temperature phase are described by the schematic Mode Coupling Theory of super-cooled liquids. We show that {\it…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Crisanti , F. Ritort

We review a theoretical perspective of the dynamics of glass forming liquids and the glass transition. It is a perspective we have developed with our collaborators during this decade. It is based upon the structure of trajectory space. This…

Soft Condensed Matter · Physics 2010-04-20 David Chandler , Juan P. Garrahan

An electronically coarse-grained model for water reveals a persistent vestige of the liquid-gas transition deep into the supercritical region. A crossover in the density dependence of the molecular dipole arises from the onset of…

Statistical Mechanics · Physics 2015-09-15 V. P. Sokhan , A. Jones , F. S. Cipcigan , J. Crain , G. J. Martyna

A spin-glass transition occurs both in and out of the limit of validity of mean-field theory on a diluted one dimensional chain of Ising spins where exchange bonds occur with a probability decaying as the inverse power of the distance.…

Computational Physics · Physics 2015-05-19 L. Leuzzi , G. Parisi , F. Ricci-Tersenghi , J. J. Ruiz-Lorenzo

We use numerical simulation to examine the possibility of a reversible liquid-liquid transition in supercooled water and related systems. In particular, for two atomistic models of water, we have computed free energies as functions of…

Statistical Mechanics · Physics 2012-05-11 David T. Limmer , David Chandler

Diverse material classes exhibit practically identical behavior when made viscous upon cooling toward the glass transition, suggesting a common theoretical basis. The first-principles scaling laws that have been proposed to describe the…

Recent numerical simulations indicate that several different equilibrium glass transitions may be characterized by diverging correlation lengths, and that these divergences are described by a non-mean-field, Ising-like, critical exponent. I…

Statistical Mechanics · Physics 2012-09-26 J. S. Langer

Solids deform and fluids flow, but soft glassy materials, such as emulsions, foams, suspensions, and pastes, exhibit an intricate mix of solid and liquid-like behavior. While much progress has been made to understand their elastic (small…

Soft Condensed Matter · Physics 2018-04-20 Simon Dagois-Bohy , Ellák Somfai , Brian P. Tighe , Martin van Hecke

The dramatic dynamic slowing down associated with the glass transition is considered by many to be related to the existence of a static length scale that grows when temperature decreases. Defining, identifying and measuring such a length is…

Statistical Mechanics · Physics 2014-05-29 Giulio Biroli , Smarajit Karmakar , Itamar Procaccia

Characterizing the glass state remains elusive since its distinction from a liquid state is not obvious. Glasses are liquids whose viscosity has increased so much that they cannot flow. Accordingly there have been many attempts to define a…

Statistical Mechanics · Physics 2015-05-27 Smarajit Karmakar , Edan Lerner , Itamar Procaccia

The glass transition is described in terms of thermally activated local structural rearrangements, the secondary relaxations of the glass phase. The interaction between these secondary relaxations leads to a much faster and much more…

Disordered Systems and Neural Networks · Physics 2007-05-23 U. Buchenau

We investigate the characteristic length scales associated with the glass transition phenomenon. By studying an atomic glass-forming liquid in negatively curved space, for which the local order is well identified and the amount of…

Statistical Mechanics · Physics 2010-02-10 François Sausset , Gilles Tarjus

An analytical model of non-Gaussian energy landscape of low-temperature fluids is developed based on the thermodynamics of the fluid of dipolar hard spheres. The entire excitation profile of the liquid, from the high temperatures to the…

Soft Condensed Matter · Physics 2009-11-13 Dmitry V. Matyushov

Yielding of amorphous glasses and gels is a mechanically driven transformation of a material from the solid to liquid state on the experimental timescale. It is a ubiquitous fundamental problem of nonequilibrium physics of high importance…

Soft Condensed Matter · Physics 2025-03-11 Anoop Mutneja , Kenneth S. Schweizer

Using positional data from video-microscopy of a two-dimensional colloidal system and from simulations of hard discs we determine the wave-vector-dependent normal mode spring constants in the supercooled fluid and glassy state,…

Soft Condensed Matter · Physics 2012-10-26 Christian L. Klix , Florian Ebert , Fabian Weysser , Matthias Fuchs , Georg Maret , Peter Keim

The following properties are in the present literature associated with the behavior of super-cooled glass-forming liquids: faster than exponential growth of the relaxation time, dynamical heterogeneities, growing point-to-set correlation…

Statistical Mechanics · Physics 2011-01-25 Florent Krzakala , Lenka Zdeborová

The Gardner transition is the transition that at mean-field level separates a stable glass phase from a marginally stable phase. This transition has similarities with the de Almeida-Thouless transition of spin glasses. We have studied a…

Disordered Systems and Neural Networks · Physics 2018-06-15 C. L. Hicks , M. J. Wheatley , M. J. Godfrey , M. A. Moore

Despite the use of glasses for thousands of years, the nature of the glass transition is still mysterious. On approaching the glass transition, the growth of dynamic heterogeneity has long been thought to play a key role in explaining the…

Soft Condensed Matter · Physics 2018-03-23 Lijin Wang , Ning Xu , W. H. Wang , Pengfei Guan
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